{
  "annotation_id": "99221ab9-88ff-435b-9154-329348606875",
  "date_created": "2026-03-02T18:01:58.992000Z",
  "date_modified": "2026-03-02T18:01:58.992000Z",
  "file_hash": "068df74fd588dbbf7a82d8e956778f32179abd1a592a946fed27bf9208d57fd6",
  "private": false,
  "record": {
    "abstract": "In this paper we study continuous-time quantum walks on Cayley graphs of the\nsymmetric group, and prove various facts concerning such walks that demonstrate\nsignificant differences from their classical analogues. In particular, we show\nthat for several natural choices for generating sets, these quantum walks do\nnot have uniform limiting distributions, and are effectively blind to large\nareas of the graphs due to destructive interference.",
    "arxiv_id": "quant-ph/0305182",
    "authors": [
      "Heath Gerhardt",
      "John Watrous"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Continuous-time quantum walks on the symmetric group",
    "url": "https://arxiv.org/abs/quant-ph/0305182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6e3cec0-79f6-4107-a00c-df62f4db6d0d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}